The observations 29, 32, 48, 50, x, x + 2, 72 | vedclass

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(B) The given observations are $29, 32, 48, 50, x, x + 2, 72, 78, 84, 95$.Total number of observations $n = 10$,which is an even number.For an even nu

Vedclass · Accepted Answer

$62$

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(B) The given observations are $29, 32, 48, 50, x, x + 2, 72, 78, 84, 95$.Total number of observations $n = 10$,which is an even number.For an even number of observations,the median is the arithmetic mean of the $\left(\frac{n}{2}\right)^{th}$ and $\left(\frac{n}{2} + 1\right)^{th}$ terms.Here,the $5^{th}$ term is $x$ and the $6^{th}$ term is $x + 2$.Median $= \frac{x + (x + 2)}{2} = 63$.$\frac{2x + 2}{2} = 63$.$x + 1 = 63$.$x = 62$.

The observations $29, 32, 48, 50, x, x + 2, 72, 78, 84, 95$ are arranged in ascending order. If their median is $63$,what is the value of $x$?

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